Solve the equation x+2 1/3=5 2/3 using inverse operations.(1 point)

x=

3 answers

x = 3
no
Apologies for the mistake. Let's solve the equation correctly using inverse operations.

x + 2 1/3 = 5 2/3

First, subtract 2 1/3 from both sides to isolate x:

x = 5 2/3 - 2 1/3

To subtract mixed numbers, we need to express them with a common denominator. The common denominator here is 3. So, we have:

x = (5*3 + 2)/3 - (2*3 + 1)/3
x = (15 + 2)/3 - (6 + 1)/3
x = 17/3 - 7/3

Next, subtract the fractions:

x = (17 - 7)/3
x = 10/3

So, the solution to the equation is x = 10/3 or x = 3 1/3.